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Simplifying -10 + z + -1 = 7z + -1t Reorder the terms: -10 + -1 + z = 7z + -1t Combine like terms: -10 + -1 = -11 -11 + z = 7z + -1t Reorder the terms: -11 + z = -1t + 7z Solving -11 + z = -1t + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -11 + z + -7z = -1t + 7z + -7z Combine like terms: z + -7z = -6z -11 + -6z = -1t + 7z + -7z Combine like terms: 7z + -7z = 0 -11 + -6z = -1t + 0 -11 + -6z = -1t Add '11' to each side of the equation. -11 + 11 + -6z = 11 + -1t Combine like terms: -11 + 11 = 0 0 + -6z = 11 + -1t -6z = 11 + -1t Divide each side by '-6'. z = -1.833333333 + 0.1666666667t Simplifying z = -1.833333333 + 0.1666666667t
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